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A weighted mean velocity feedback strategy in intelligent two-route traffic systems 被引量:4
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作者 傅潇潇 张丽霞 +3 位作者 李宗良 王传奎 向郑涛 熊励 《Chinese Physics B》 SCIE EI CAS CSCD 2013年第2期545-549,共5页
Information feedback strategies can influence the traffic efficiency of intelligent traffic systems greatly.Based on the more practical symmetrical two-route scenario with one entrance and one exit,an improved weighte... Information feedback strategies can influence the traffic efficiency of intelligent traffic systems greatly.Based on the more practical symmetrical two-route scenario with one entrance and one exit,an improved weighted mean velocity feedback strategy(WMVFS) is proposed,which is not sensitive to the precision of global position system(GPS) devices.The applicability of WMVFS to different weight factors,aggressive probabilities,densities of dynamic vehicles,and different two-route scenarios(symmetrical scenario and asymmetrical scenario with a speed limit bottleneck) is analyzed.Results show that WMVFS achieves the best performance compared with three other information feedback strategies when considering the traffic flux and stability. 展开更多
关键词 traffic flow cellular automaton model weighted mean velocity feedback
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Feasibility of the 2-point method to determine the load-velocity relationship variables during the countermovement jump exercise
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作者 Alejandro Pérez-Castilla Rodrigo Ramirez-Campillo +1 位作者 John F.T.Fernandes Amador García-Ramos 《Journal of Sport and Health Science》 SCIE CAS CSCD 2023年第4期544-552,F0003,共10页
Purpose:This study aimed to examine the reliability and validity of load-velocity(L-V)relationship variables obtained through the 2-point method using different load combinations and velocity variables.Methods:Twenty ... Purpose:This study aimed to examine the reliability and validity of load-velocity(L-V)relationship variables obtained through the 2-point method using different load combinations and velocity variables.Methods:Twenty men performed 2 identical sessions consisting of 2 countermovement jumps against 4 external loads(20 kg,40 kg,60 kg,and80 kg)and a heavy squat against a load linked to a mean velocity(MV)of 0.55 m/s(load_(0.55)).The L-V relationship variables(load-axis intercept(L_(0)),velocity-axis intercept(v_(0)),and area under the L-V relationship line(A_(line)))were obtained using 3 velocity variables(MV,mean propulsive velocity(MPV),and peak velocity)by the multiple-point method including(20-40-60-80-load_(0.55))and excluding(20-40-60-80)the heavy squat,as well as from their respective 2-point methods(20-load_(0.55)and 20-80).Results:The L-V relationship variables were obtained with an acceptable reliability(coefncient of variation(CV)≤7.30%;intra-class correlation coefficient>0.63).The reliability of L_(0)and v_(0)was comparable for both methods(CV_(ratio)(calculated as higher value/lower value):1.11-1.12),but the multiple-point method provided Al_(ine)with a greater reliability(CV_(ratio)=1.26).The use of a heavy squat provided the L-V relationship variables with a comparable or higher reliability than the use of a heavy countermovement jump load(CV_(ratio):1.06-1.19).The peak velocity provided the load-velocity relationship variables with the greatest reliability(CV_(ratio):1.15-1.86)followed by the MV(CV_(ratio):1.07-1.18),and finally the MPV.The 2-point methods only revealed an acceptable validity for the MV and MPV(effect size≤0.19;Pearson s product-moment correlation coefficient≥0.96;Lin's concordance correlation coefficient≥0.94).Conclusion:The 2-point method obtained from a heavy squat load and MV or MPV is a quick,safe,and reliable procedure to evaluate the lower-body maximal neuromuscular capacities through the L-V relationship. 展开更多
关键词 Force-velocity relationship mean velocity Multiple-point method Peak velocity velocity-based training
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A New Model for Prediction of Mean Liquid Circulating Velocity in Bubble Columns
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作者 陈启明 吴元欣 《Chinese Journal of Chemical Engineering》 SCIE EI CAS CSCD 2000年第4期385-387,共3页
A new model without any fitting parameter for estimating the mean liquid recirculating velocity has been derived from previous work directly. The prediction agrees with experimental data reasonably well. Accurency of ... A new model without any fitting parameter for estimating the mean liquid recirculating velocity has been derived from previous work directly. The prediction agrees with experimental data reasonably well. Accurency of prediction from the new model is comparable with the models reported in the literature. However, the new model has a potential capability to predict the average liquid recirculation velocity at elevated pressure bubble columns since n and c is developed under pressure. However this needs to be further tested experimentally. 展开更多
关键词 mean liquid velocity correlation prediction bubble column
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Close Correlations Between Carotid Arterial Mean Blood Flow Velocity,Body Mass Index,and Temperature in Normal Individuals
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作者 Xiang Zhu Wei Gao +2 位作者 Yong Chi Zhi‑Yong Wang Jun‑Jie Shao 《World Journal of Traditional Chinese Medicine》 CAS CSCD 2023年第4期469-474,共6页
Objective:Assessing carotid and radial pulses is an essential sphygmology method in traditional Chinese medicine(TCM).It is believed in TCM and by doctors that pulse force is markedly linked with the physiological sta... Objective:Assessing carotid and radial pulses is an essential sphygmology method in traditional Chinese medicine(TCM).It is believed in TCM and by doctors that pulse force is markedly linked with the physiological state of a human,including body mass index(BMI)and temperature.However,comprehensive analysis elucidating these potential correlations remains undetermined.Therefore,this investigation aimed to assess the association of pulse strength with human metabolism.Materials and Methods:The mean blood flow velocity(MBFV)of the carotid artery and pulse force of 122 healthy adults included in this investigation were assessed using ultrasound and manual palpation.Their thermal texture map was also acquired.Results:No substantial variation was observed in the carotid arterial MBFV among normal individuals(P>0.05)regardless of body side and gender.However,young individuals had higher blood velocity than middle-aged individuals(P<0.05).Furthermore,it was identified that MBFV was negatively associated with BMI and torso temperature;however,it was positively linked with hand temperature.Conclusions:This investigation revealed that carotid arterial MBFV could indicate the physical state of humans,including BMI and temperature,and therefore,is valuable for elucidating the effect of TCM on yin–yang.The data validated some TCM beliefs and supported the implementation of sphygmology in TCM. 展开更多
关键词 Body mass index carotid artery mean blood flow velocity sphygmology temperature traditional Chinese medicine
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Limit Properties of One Dimensional Periodic Hopping Model 被引量:1
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作者 张云新 《Chinese Journal of Chemical Physics》 SCIE CAS CSCD 2010年第1期65-68,I0001,I0002,共6页
One dimensional periodic hopping model is useful to understand the motion of microscopic particles in thermal noise environment. In this research, by formal calculation and based on detailed balance, the explicit expr... One dimensional periodic hopping model is useful to understand the motion of microscopic particles in thermal noise environment. In this research, by formal calculation and based on detailed balance, the explicit expressions of the limits of mean velocity and diffusion constant of this model as the number of internal mechanochemical sates tend to infinity are obtained.These results will be helpful to understand the limit of the one dimensional hopping model.At the same time, the work can be used to get more useful results in continuous form from the corresponding ones obtained by discrete models. 展开更多
关键词 Diffusion constant mean velocity Hopping model
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Flow Field Around Rushton Turbine in Stirred Tank by Particle Image Velocimetry Measurement 被引量:7
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作者 高殿荣 ACHARYA Sumanta +1 位作者 王益群 UHM Jongho 《Chinese Journal of Chemical Engineering》 SCIE EI CAS CSCD 2004年第6期843-850,共8页
In this paper, particle image velocimetry (PIV) was used to measure the mean and root meansquare(RMS) velocity in the stirred tank with six-flat blade Rushton turbine and with no baffles. Two typesof motion patterns w... In this paper, particle image velocimetry (PIV) was used to measure the mean and root meansquare(RMS) velocity in the stirred tank with six-flat blade Rushton turbine and with no baffles. Two typesof motion patterns were studied. One was that the impeller runs at constant speed, the other was that the impellerruns at time-dependent speed and in a periodic way. The emphasis of the paper was on the comparison of meanand RMS velocity vector maps and profiles between these two types of motion patterns, and especial attention waspaid to the comparison of the mean velocity, time-averaged RMS velocity, phase averaged RMS velocity betweenthe constant 3 RPS (revolution per second) and time-dependent operation. The Reynolds number was between 763and 1527. The study explained the mechanism that time-dependent RPS is more efficient for mixing than that ofconstant RPS. 展开更多
关键词 particle image velocimetry mean velocity stirred tank root mean squarevelocity time-dependent speed
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Investigation on Eccentric Agitation in the Stirred Vessel Using 3D-Laser Doppler Velocimeter 被引量:7
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作者 王波 张捷宇 +1 位作者 贺友多 安胜利 《Chinese Journal of Chemical Engineering》 SCIE EI CAS CSCD 2006年第5期618-625,共8页
The spatial structure of the velocity field in a stirred vessel with water has been measured and analyzed using the laser Doppler velocimeter technique, with the immersing depth and agitation speed of the impeller re-... The spatial structure of the velocity field in a stirred vessel with water has been measured and analyzed using the laser Doppler velocimeter technique, with the immersing depth and agitation speed of the impeller re-maining approximately constant. The experimental results were provided such as the mean velocity field, fluctuat-ing velocities, turbulent kinetic energy, Reynolds shear stress and time series of the velocity in the stirred tank. These results probably provided the valuable basis to further optimize and enlarge the stirred tank in the industrial process. 展开更多
关键词 stirred vessel laser Doppler velocimeter eccentric agitation mean velocity
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Characterization on the hydrodynamics of a covering-plate Rushton impeller 被引量:2
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作者 Tenglong Su Fengling Yang +1 位作者 Meiting Li Kanghui Wu 《Chinese Journal of Chemical Engineering》 SCIE EI CAS CSCD 2018年第6期1392-1400,共9页
A modified Rushton impeller with two circular covering-plates mounted on the upper and lower sides of the blades was designed.There are gaps between the plates and the blades.The turbulent hydrodynamics was analyzed b... A modified Rushton impeller with two circular covering-plates mounted on the upper and lower sides of the blades was designed.There are gaps between the plates and the blades.The turbulent hydrodynamics was analyzed by the computational fluid dynamics(CFD) method.Firstly,the reliability of the numerical model and simulation method was verified by comparing with the experimental results from literature.Subsequently,the power consumption,flow pattern,mean velocity and mixing time of the covering-plate Rushton impeller(RT-C) were studied and compared with the standard Rushton impeller(RT) operated under the same conditions.Results show that the power consumption can be decreased about 18%.Compared with the almost unchanged flow field in the lower stirred tank,the mean velocity was increased at the upper half of the stirred tank.And in the impeller region,the mean axial and radial velocities were increased,the mean tangential velocity was decreased.In addition,the average mixing time of RT-C was shortened about 4.14% than the counterpart of RT.The conclusions obtained here indicated that RT-C has a more effective mixing performance and it can be used as an alternative of RT in the process industries. 展开更多
关键词 Covering-plate Rushton impeller(RT-C) Power consumption Flow pattern mean velocity Mixing time Computational fluid dynamics(CFD)
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Experiment on the Effect of Sediment Concentration on Flow Structure
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作者 Chen, Li Wu, Menwu +1 位作者 Deng, Xiaoli Huang, Rongmin 《四川大学学报(工程科学版)》 EI CAS CSCD 北大核心 2005年第S1期41-45,共5页
The paper studies on the sediment-laden flow by using MicroADV.Laboratory calibration has been conducted to determine the relationship between backscattered signal strength and sediment concentration. Based on the exp... The paper studies on the sediment-laden flow by using MicroADV.Laboratory calibration has been conducted to determine the relationship between backscattered signal strength and sediment concentration. Based on the experimental data,the interactions between sediment and fluid in open channel flow are investi- gated.The experiment shows that there exist inner relation between sediment concentration and turbulence, and the relationship is distinctry related to the diameter of particle as well as the flow co... 展开更多
关键词 turbulence intensity mean velocity sediment concentration flow structure
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Forest Canopy Flow Analysis Using Turbulence Model with Source/Sink Terms
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作者 杨会 付海明 《Journal of Donghua University(English Edition)》 EI CAS 2015年第4期588-593,共6页
A computational fluid dynamics( CFD) model was presented to simulate wind flow over a forest canopy for analyzing the wind flow within and above forest canopies. Unlike previous studies on the canopy flow,the effect o... A computational fluid dynamics( CFD) model was presented to simulate wind flow over a forest canopy for analyzing the wind flow within and above forest canopies. Unlike previous studies on the canopy flow,the effect of canopy contour on the canopy was considered to develop the simulation method into a more general but complex case of wind flow over a forest canopy,using cedrus deodara and cinnamomum camphora. The desire of this work is mainly motivated to provide a rational way for predicting the wind flow within and above vegetation canopies. The model of canopy is not incorporated in the geometrical model,and it uses a porous domain combined with k-ε two-equation turbulence model with source / sink terms. The objectives of this paper are to analyze the contour of pressure and velocity and compare the simulation results with other works and field measurements. Results are encouraging,as the model profiles of mean velocity( u) qualitatively agree well with other works compared with and quantitatively have similar explanations as several authors. In conclusion, it is demonstrated that the adoption turbulence model with source / sink terms for forest canopies is proved to be a physically accurate and numerically robust method. The model and method are recommended for future use in simulating turbulent flows in forest canopies. 展开更多
关键词 k-ε source / sink terms mean velocity forest canopy
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Estimations of the Maximum Tangential Velocity V_(θm) in the Vortex Core Region and also the Mean Rotational Velocity V_(oi) near the Concave Wall Surface in the Returned Flow Type Cyclone Dust Collector
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作者 Akira Ogawa 《Journal of Thermal Science》 SCIE EI CAS CSCD 2010年第6期553-560,共8页
There are many types of cyclone dust collectors for separating the fine solid and dust particles from gases in the various industries and also in the home used purposes. For estimating the power loss and the collectio... There are many types of cyclone dust collectors for separating the fine solid and dust particles from gases in the various industries and also in the home used purposes. For estimating the power loss and the collection efficiency, one of the most important factors is the maximum tangential velocity V0m in the vortex core region in the cyclone body. In order to determine V0~ by the simple method, it is useful to apply the mechanical balance of the angular momentum fluxes under the assumption of Ogawa combined vortex model which is composed of the quasi-forced vortex in the vortex core region and also the quasi-free vortex surrounded the vortex core region and also under the assumption of the introduction of equivalent length Heq corresponding to the cone spaces of the cyclone body and the dust bunker. On the other hand, the mean rotational velocity Voi near the concave wall surface is also estimated by the mechanical balance of angular momentum fluxes with the moment of viscous friction force. For confirming the general applications of the obtained equations, the returned flow types cyclones changed the throat diameter D3 are designed. The material of the cyclone is the transparent acrylic resin. Therefore the inner surface of the cyclone body can be regarded as smooth surface. The comparisons of the measured velocities V~ and Voi by a cylindrical Pitot tube are shown in good agreement with those of the proposed equations. The above stated results are described in detail. 展开更多
关键词 Cyclone Dust Collector Maximum Tangential velocity mean Rotational velocity Angular Momentum Flux Equivalent Length Surface Frictional Force Ogawa Combined Vortex Model Reynolds Number.
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Determining the Best Mathematical Models of Stable Hydraulics Slop for Jajroud River with Analyzing and Comparing the Results by HEC-RAS
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作者 A.R. Mardookhpour 《Journal of Environmental Science and Engineering》 2011年第4期388-391,共4页
This paper deals with an analysis of selected equations used for the determination of a stable longwise slope calculation of torrential rivers of Jajroud in east of Tehran. Irregularity of the gradient, accompanied by... This paper deals with an analysis of selected equations used for the determination of a stable longwise slope calculation of torrential rivers of Jajroud in east of Tehran. Irregularity of the gradient, accompanied by heavy bed-load experiencing abrupt changes of the flow as a result of heavy rainfalls of short duration and high intensity, these are typical features impacting the behavior and characteristics of torrential rivers. The determination of the stable bottom slope, when the river bed is kept unpaved but still provides resistance against harmful effects of rapids, becomes an essential objective of the study. Three methods are used to determine the stable slope: the first is based on tangent tension (shear stress theory), the second observes a (critical) non-scouring cross-sectional velocity (critical mean channel velocities), and the third applies the bottom layer velocity (the critical bed velocities). The mathematical hydraulic model HEC-RAS v. 3.1.3 has been used for the verification of the methods in this research study. 展开更多
关键词 Stable bed slope shear stress theory critical mean channel velocities critical bed velocities HEC-RAS software.
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Incorporating boundary constraints to predict mean velocities in turbulent channel flow 被引量:4
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作者 WU You CHEN Xi +1 位作者 SHE ZhenSu HUSSAIN Fazle 《Science China(Physics,Mechanics & Astronomy)》 SCIE EI CAS 2012年第9期1691-1695,共5页
We derive exact near-wall and centerline constraints and apply them to improve a recently proposed LPR model for finite Reynolds number(Re) turbulent channel flows.The analysis defines two constants which are invarian... We derive exact near-wall and centerline constraints and apply them to improve a recently proposed LPR model for finite Reynolds number(Re) turbulent channel flows.The analysis defines two constants which are invariant with Re and suggests two more layers for incorporating boundary effects in the prediction of the mean velocity profile in the turbulent channel.These results provide corrections for the LPR mixing length model and incorrect predictions near the wall and the centerline.Moreover,we show that the analysis,together with a set of well-defined sensitive indicators,is useful for assessment of numerical simulation data. 展开更多
关键词 TURBULENCE channel flow mean velocity asymptotic analysis
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Transverse radius dependence for transverse velocity and elliptic flow in intermediate energy HIC
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作者 颜廷志 李杉 《Chinese Physics C》 SCIE CAS CSCD 2011年第5期459-462,共4页
The mean transverse velocity and elliptic flow of light fragments (A≤2) as a function of transverse radius are studied for 25 MeV/nucleon 64Cu+64Cu collisions with impact parameters 3–5 fm by the isospin- depende... The mean transverse velocity and elliptic flow of light fragments (A≤2) as a function of transverse radius are studied for 25 MeV/nucleon 64Cu+64Cu collisions with impact parameters 3–5 fm by the isospin- dependent quantum molecular dynamics model. By comparison between the in-plane and the out-of-plane transverse velocities, the elliptic flow dependence on the transverse radius can be understood qualitatively, and variation of the direction of the resultant force on the fragments can be investigated qualitatively. 展开更多
关键词 mean transverse velocity elliptic flow intermediate energy HIC
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Slowing down critical transitions via Gaussian white noise and periodic force 被引量:5
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作者 MA JinZhong XU Yong +2 位作者 XU Wei LI YongGe KURTHS Jirge 《Science China(Technological Sciences)》 SCIE EI CAS CSCD 2019年第12期2144-2152,共9页
Stochastic perturbations and periodic excitations are generally regarded as sources to induce critical transitions in complex systems. However, we find that they are also able to slow down an imminent critical transit... Stochastic perturbations and periodic excitations are generally regarded as sources to induce critical transitions in complex systems. However, we find that they are also able to slow down an imminent critical transition. To illustrate this phenomenon, a periodically driven bistable eutrophication model with Gaussian white noise is introduced as a prototype class of real systems.The residence probability(RP) is presented to measure the possibility that the given system stays in the oligotrophic state versus Gaussian white noise and periodic force. Variations in the mean first passage time(MFPT) and the mean velocity(MV) of the first right-crossing process are also calculated respectively. We show that the frequency of the periodic force can increase the MFPT while reduce the MV under different control parameters. Nevertheless, the noise intensity or the amplitude may result in an increase of the RP only in the case of control parameters approaching the critical values. Furthermore, for an impending critical transition, an increase of the RP appears with the interaction between the amplitude and noise intensity or the combination of the noise intensity and frequency, while the interaction of the frequency and amplitude leads to an extension of the MFPT or a decrease of the MV. As a result, an increase of the RP and MFPT, and a decrease of the MVobtained from our results claim that it is possible to slow down an imminent critical transition via Gaussian white noise and periodic force. 展开更多
关键词 critical transition slowing down bistable eutrophication model Gaussian white noise periodic force residence probability mean first passage time mean velocity
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Airflow patterns upwind of obstacles and their significance for echo dune formation:A field measurement of the effects of the windward slope angle 被引量:3
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作者 GuangQiang Qian ZhiBao Dong +2 位作者 WanYin Luo ZhengCai Zhang AiGuo Zhao 《Science China Earth Sciences》 SCIE EI CAS 2012年第4期545-553,共9页
The velocities in front of five topographic obstacles with windward slope angles between 45~ and 80~ were measured using ul- trasonic anemometers in the field at the southeastern margin of the Tengger Desert. The char... The velocities in front of five topographic obstacles with windward slope angles between 45~ and 80~ were measured using ul- trasonic anemometers in the field at the southeastern margin of the Tengger Desert. The characteristics of the horizontal and vertical velocities indicated that the airflow pattern was significantly influenced by the ohstacle's windward slope angle. The horizontal flow decelerated but the vertical flow accelerated upwind of the obstacles when the windward slope was less than 60~, but a reversed flow formed in front of steeper obstacles. The size of the area occupied by the reversed horizontal compo- nent increased with increasing windward slope, but the region of reversed vertical velocity became narrower and taller. Air- flow turbulence was strengthened as the wind approached the obstacle, and low-frequency high-energy velocity fluctuations were observed upwind of the obstacle, and could affect the entrainment and saltation processes of sand particles. Turbulence intensities for both the horizontal and vertical components of the airflow increased with increasing windward slope and with decreasing distance from the obstacle. The deceleration and downward movement of airflow upwind of the obstacle would re- sult in supersaturation of the air-sand flow, leading to deposition of moving sand, and these deposited grains would become the material basis for the formation of echo dunes. The reversed airflow would both determine the initial position of the echo dune and provide the necessary motive power to subsequently shape the echo dune. 展开更多
关键词 echo dune mean velocity turbulence intensity dune dynamics ultrasonic anemometer
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Effect of thinking on intracranial blood flow velocities 被引量:2
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作者 田发发 欧阳珊 杨期东 《Chinese Medical Journal》 SCIE CAS CSCD 2001年第11期91-92,111,共3页
Objective To determine the effect of thinking on intracranial blood flow velocities.Methods Transcranial Doppler(TCD)was used to measure the blood flow velocities of the cerebral arteries,when 10 normal persons were a... Objective To determine the effect of thinking on intracranial blood flow velocities.Methods Transcranial Doppler(TCD)was used to measure the blood flow velocities of the cerebral arteries,when 10 normal persons were at rest and during thinking.Results The mean flow velocities(MFVs)of the cerebral arteries during thinking were significantly higher than those at rest,especially in the MCA and ACA.The MFVs were raised from between 10.3% to 14.3%.Conclusions Thinking can increase the blood flow velocities of cerebral arteries significantly. 展开更多
关键词 thinking ·transcranial Doppler · cerebral artery · mean flow velocity
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Discrete particle simulation of mixed sand transport 被引量:3
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作者 Fengjiun Xiao Lieiin Guo +1 位作者 Debiao Li Yueshe Wang 《Particuology》 SCIE EI CAS CSCD 2012年第2期221-228,共8页
An Eulerian/Lagrangian numerical simulation is performed on mixed sand transport. Volume averaged Navier-Stokes equations are solved to calculate gas motion, and particle motion is calculated using Newton's equation,... An Eulerian/Lagrangian numerical simulation is performed on mixed sand transport. Volume averaged Navier-Stokes equations are solved to calculate gas motion, and particle motion is calculated using Newton's equation, involving a hard sphere model to describe particle-to-particle and particle-to-wall collisions. The influence of wall characteristics, size distribution of sand particles and boundary layer depth on vertical distribution of sand mass flux and particle mean horizontal velocity is analyzed, suggesting that all these three factors affect sand transport at different levels. In all cases, for small size groups, sand mass flux first increases with height and then decreases while for large size groups, it decreases exponen- tially with height and for middle size groups the behavior is in-between. The mean horizontal velocity for all size groups well fits experimental data, that is, increasing logarithmically with height in the middle height region. Wall characteristics greatly affects particle to wall collision and makes the fiat bed similar to a Gobi surface and the rough bed similar to a sandy surface. Particle size distribution largely affects the sand mass flux and the highest heights they can reach especially for larger particles. 展开更多
关键词 Mixed sand transportHard sphere modelSand mass fluxParticle horizontal mean velocity
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An effective description of a periodic one-dimensional hopping model
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作者 ZHANG YunXin 《Science China(Physics,Mechanics & Astronomy)》 SCIE EI CAS 2011年第3期401-405,共5页
The periodic one-dimensional hopping model is useful for studying the motion of microscopic particles in the thermal noise environment. Based on the explicit formulations of mean velocity, mean first passage time and ... The periodic one-dimensional hopping model is useful for studying the motion of microscopic particles in the thermal noise environment. Based on the explicit formulations of mean velocity, mean first passage time and effective diffusion constant, a general N internal states or even infinite internal states model can be approximated by a one state model that retains the basic properties of the original process. This effective description aids the analysis of biochemical and biophysical problems. This effective description also implies that, to some extent, many processes can be well described by simple two-state models, or even one-state models. 展开更多
关键词 hopping model mean velocity mean first passage time effective diffusion constant
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Perturbation analysis for pulsatile flow of Carreau fluid through tapered stenotic arteries
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作者 D. S. Sankar 《International Journal of Biomathematics》 2016年第4期259-283,共25页
The pulsatile flow of blood in a tapered narrow artery with overlapping time-dependent stenosis is mathematically analyzed, modeling blood as Caxreau fluid. Perturbation method is employed for solving the resulting no... The pulsatile flow of blood in a tapered narrow artery with overlapping time-dependent stenosis is mathematically analyzed, modeling blood as Caxreau fluid. Perturbation method is employed for solving the resulting nonlinear system of equations along with the appropriate boundary conditions. The analytic solutions to the pressure gradient, velocity distribution, flow rate, wall shear stress and longitudinal impedance to flow axe obtained in the asymptotic form. The variation of the aforesaid flow quantities with respect to various physical parameters such as maximum depth of the stenosis, angle of tapering of the artery, power law index, Reynolds number, pulsatile amplitude of the flow and Weissenberg number is investigated. It is found that the wall shear stress and longitudinal impedance to flow increase with the increase of the angle of tapering of the artery, the maximum depth of the stenosis and pulsatile Reynolds number and these decrease with the increase of the amplitude of the flow, power law index and Weis- senberg number. The mean velocity of blood decreases significantly with the increase of the artery radius, maximum depth of the stenosis, angle of tapering of the artery. 展开更多
关键词 Pulsatile flow Carreau fluid overlapping stenosis mean velocity longitudinalimpedance to flow.
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